a theater is having a carwash fundraiser. the group can only spend 34$ on soap. which is enough to wash 40 cars. each car is charged $5. if c represents the total number of cars and washed and p represents the profit, which equation shows the relationship between c and p

The equation relating the total number of cars washed (c) and the profit (p) can be derived as follows:

Profit = Total income - Expenses

Income per car = $5
Total income = $5 x c

Expenses (cost of soap) = $34

Profit = $5c - $34

Therefore, the equation showing the relationship between c and p is:

p = 5c - 34